Question

Solve the following simultaneous equation graphically.

3x – y = 2 ; 2x – y = 3

Answer 1

3x – y = 2

3x - 2 = y

y = 3x -2

x	0	1	2	-1
y	-2	1	4	-5
(x, y)	(0, -2	(1, 1)	(2, 4)	(-1, -5)

2x – y = 3 

x	0	1	2	3
y	-3	-1	1	3
(x, y)	(0, -3)	(1, -1)	(2, 1)	(3, 3)

The point of intersection of the two lines is (−1, −5).